Preheat the oven to 375°F and line a baking sheet with parchment paper.

Unroll the crescent dough and separate it into individual triangles.

Sprinkle shredded cheddar cheese over each triangle, then add a spoonful of caramelized onions.

Place half of a bratwurst at the wide end of each triangle, then roll it up tightly toward the pointed end.

In a small bowl, whisk together the egg and water. Brush the egg wash over each wrapped bratwurst.

Sprinkle everything bagel seasoning evenly over the tops.

Arrange the wrapped brats on the prepared baking sheet and bake for 12 to 15 minutes, or until the crescent rolls are golden brown and fully cooked.

Remove from the oven and garnish with chopped parsley. Serve warm.